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Finding the Fourth Proportional to 488.10, 731.66 and 213.96

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Solution

The fourth proportional to 488.10, 731.66 and 213.96 is: 320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.10 : 731.66 = 213.96 : x
  2. Step 2: Convert to fraction form
    488.10/731.66 = 213.96/x
  3. Step 3: Cross multiply
    488.10x = 731.66 × 213.96
  4. Step 4: Simplify right side
    488.10x = 156,544.90
  5. Step 5: Solve for x
    x = 156,544.90/488.10
  6. Step 6: Final answer
    x = 320.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.